Will banishing smite hexblade be a better paladin that lockadin?

Since hexblade gets Banishing Smite (in tabletop), the only fifth spell slot smite in the game, it can do what traditional lockadin can not - since divine smite is limited to 4th spell slot.

Considering 3 spell slots on warlock-12, you can get 3 smites each 5d10 + weapon damage + charisma modifier + arcane synergy + life drinker + hexblade curse, restored on short rest, I think it might outdamage other paladin/multi-paladin except SSB?

On a glance it should be something like 5d10 + 2d6 + 2 (greatsword) + 6 + 6 + 6 + 6 or about 57 on average, 176 on autocrit asuming 22 charisma which you should have by level 12.

Granted, you can't burst them all first round since it takes bonus action pers smite, but you can spread them between 3 rounds, while making second/third (if hasted) attack normally.